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Finding the Fourth Proportional to 13,937.94, 19,235.64 and 7,970.04

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Solution

The fourth proportional to 13,937.94, 19,235.64 and 7,970.04 is: 10,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.94 : 19,235.64 = 7,970.04 : x
  2. Step 2: Convert to fraction form
    13,937.94/19,235.64 = 7,970.04/x
  3. Step 3: Cross multiply
    13,937.94x = 19,235.64 × 7,970.04
  4. Step 4: Simplify right side
    13,937.94x = 153,308,820.23
  5. Step 5: Solve for x
    x = 153,308,820.23/13,937.94
  6. Step 6: Final answer
    x = 10,999.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.